Levinson's theorem for Dirac particles with a long-range potential
Journal Article
·
· Phys. Rev. D; (United States)
The property that the relative phase shift delta(E)-delta/sup(/sup 1/)(E) for the potential V/sup(/sup 2/) = V-V/sup(/sup 1/) and the difference of the numbers of the bound states n-n/sup(/sup 1/) satisfy Levinson's theorem for the Schroedinger problem is very useful for discussing the problem with a long-range potential and with a repulsive hard core. In terms of this property, Levinson's theorem is extended to the Dirac problem with a long-range potential in this paper.
- Research Organization:
- Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794
- OSTI ID:
- 5213631
- Journal Information:
- Phys. Rev. D; (United States), Vol. 32:8
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MAGNETIC MONOPOLES
LEVINSON THEOREM
ANGULAR MOMENTUM
BOUND STATE
PHASE SHIFT
POTENTIALS
SCHROEDINGER EQUATION
STURM-LIOUVILLE EQUATION
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MAGNETIC MONOPOLES
LEVINSON THEOREM
ANGULAR MOMENTUM
BOUND STATE
PHASE SHIFT
POTENTIALS
SCHROEDINGER EQUATION
STURM-LIOUVILLE EQUATION
WAVE FUNCTIONS
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FUNCTIONS
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
POSTULATED PARTICLES
WAVE EQUATIONS
645201* - High Energy Physics- Particle Interactions & Properties-Theoretical- General & Scattering Theory
657002 - Theoretical & Mathematical Physics- Classical & Quantum Mechanics